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68647259160 = 23335193345383
BaseRepresentation
bin111111111011101100…
…100000110000011000
320120012010221002022000
4333323230200300120
52111042144243120
651311445001000
74650100034544
oct777354406030
9216163832260
1068647259160
1127127651937
12113799b3160
13662010489c
1434730c6a24
151bbb9a3990
hexffbb20c18

68647259160 has 128 divisors (see below), whose sum is σ = 240867648000. Its totient is φ = 17342460288.

The previous prime is 68647259137. The next prime is 68647259203. The reversal of 68647259160 is 6195274686.

68647259160 is a `hidden beast` number, since 6 + 8 + 6 + 47 + 2 + 591 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 68647259097 and 68647259106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1652172 + ... + 1693211.

It is an arithmetic number, because the mean of its divisors is an integer number (1881778500).

Almost surely, 268647259160 is an apocalyptic number.

68647259160 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

68647259160 is an abundant number, since it is smaller than the sum of its proper divisors (172220388840).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

68647259160 is a wasteful number, since it uses less digits than its factorization.

68647259160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3345422 (or 3345412 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 68647259160 in words is "sixty-eight billion, six hundred forty-seven million, two hundred fifty-nine thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 19 20 24 27 30 36 38 40 45 54 57 60 72 76 90 95 108 114 120 135 152 171 180 190 216 228 270 285 342 360 380 456 513 540 570 684 760 855 1026 1080 1140 1368 1710 2052 2280 2565 3420 4104 5130 6840 10260 20520 3345383 6690766 10036149 13381532 16726915 20072298 26763064 30108447 33453830 40144596 50180745 60216894 63562277 66907660 80289192 90325341 100361490 120433788 127124554 133815320 150542235 180650682 190686831 200722980 240867576 254249108 301084470 317811385 361301364 381373662 401445960 451626705 508498216 572060493 602168940 635622770 722602728 762747324 903253410 953434155 1144120986 1204337880 1271245540 1525494648 1716181479 1806506820 1906868310 2288241972 2542491080 2860302465 3432362958 3613013640 3813736620 4576483944 5720604930 6864725916 7627473240 8580907395 11441209860 13729451832 17161814790 22882419720 34323629580 68647259160